Supplier selection is a Multiple Attribute Decision Making (MADM) problem which is affected by several conflicting factors as the suppliers information and performances are usually incomplete and uncertain. Several MADM methods have been proposed for solving this problem, one of which is the Analytic Hierarchy Process (AHP). One of the advantages of this approach is the ability to make incomplete comparisons to get a final priority vector (particularly, in combination with Harkers method). Therefore, calculating priorities with incomplete preference information on alternatives is the aim of this paper. Finally, a numerical example for supplier selection is given to illustrate the application of the proposed method. The main findings of this study confirm the effectiveness of the proposed methods.